Connectedness and strong semicontinuity

Strong Rational Connectedness of Surfaces

This paper focuses on the study of the strong rational connectedness of smooth rationally connected surfaces. In particular, we show that the smooth locus of a log del Pezzo surface is strongly rationally connected. This confirms a conjecture due to Hassett and Tschinkel in [HT08].

Competition hypergraphs of digraphs with certain properties I. Strong connectedness

If D = (V,A) is a digraph, its competition hypergraph CH(D) has the vertex set V and e ⊆ V is an edge of CH(D) iff |e| ≥ 2 and there is a vertex v ∈ V , such that e = {w ∈ V |(w, v) ∈ A}. We tackle the problem to minimize the number of strong components in D without changing the competition hypergraph CH(D). The results are closely related to the corresponding investigations for competition gra...

A - Quasiconvexity , Lower Semicontinuity And

Uniform connectedness and uniform local connectedness for lattice-valued uniform convergence spaces

We apply Preuss' concept of $mbbe$-connectedness to the categories of lattice-valued uniform convergence spaces and of lattice-valued uniform spaces. A space is uniformly $mbbe$-connected if the only uniformly continuous mappings from the space to a space in the class $mbbe$ are the constant mappings. We develop the basic theory for $mbbe$-connected sets, including the product theorem. Furtherm...

Strong connectedness within Norwegian Cheviot and Fur Sheep ram circles allows reliable estimation of breeding values.

Breeding programs for sheep in Norway are based on cooperatives of ram circles (RC). The key features of RC are selection of rams across member flocks and their rotation among RC flocks during the mating season. Genetic gains are disseminated to flocks outside RC (ORC). In both groups, natural service and AI are practiced. The objectives were to investigate 1) connectedness within and across RC...